arithmetic
posted by mike on .
the sum of the first 8 term of an arithmetic progresion is 220,if the third term is 17.Find the sum of the first 6 items

the third term is 17 > a+2d = 17
a = 172d
sum of first 8 terms = 220
> (8/2)(2a + 7d) = 220
4(2a + 7d) = 220
2a + 7d = 55
2(172d) + 7d = 55
34  4d + 7d = 55
3d = 21
d = 7
then a = 3
sum(6) = 3(6 + 35) = 123
check:
terms are: 3 10 17 24 31 38 45 52 ..
sum(8) = 220
sum(6) = 123
all is good